Taylor States in Stellarators: A Fast High-order Boundary Integral Solver

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Malhotra, Dhairya; Cerfon, Antoine; Imbert-Gérard, Lise-Marie; O'Neil, Michael;
(2019)
  • Related identifiers: doi: 10.1016/j.jcp.2019.06.067
  • Subject: G.1.10 | 65-04 | G.1.9 | Physics - Plasma Physics | Physics - Computational Physics | G.1 | Mathematics - Numerical Analysis
    acm: ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION

We present a boundary integral equation solver for computing Taylor relaxed states in non-axisymmetric solid and shell-like toroidal geometries. The computation of Taylor states in these geometries is a key element for the calculation of stepped pressure stellarator equ... View more
  • References (49)
    49 references, page 1 of 5

    [1] S. Balay, S. Abhyankar, M. F. Adams, J. Brown, P. Brune, K. Buschelman, L. Dalcin, A. Dener, V. Eijkhout, W. D. Gropp, D. Kaushik, M. G. Knepley, D. A. May, L. C. McInnes, R. T. Mills, T. Munson, K. Rupp, P. Sanan, B. F. Smith, S. Zampini, H. Zhang, and H. Zhang. PETSc Web page. http://www.mcs.anl.gov/petsc, 2018. URL http://www.mcs.anl.gov/petsc.

    [2] S. Balay, S. Abhyankar, M. F. Adams, J. Brown, P. Brune, K. Buschelman, L. Dalcin, A. Dener, V. Eijkhout, W. D. Gropp, D. Kaushik, M. G. Knepley, D. A. May, L. C. McInnes, R. T. Mills, T. Munson, K. Rupp, P. Sanan, B. F. Smith, S. Zampini, H. Zhang, and H. Zhang. PETSc users manual. Technical Report ANL-95/11 - Revision 3.10, Argonne National Laboratory, 2018. URL http://www.mcs.anl.gov/petsc.

    [3] F. Bauer, O. Betancourt, and P. Garabedian. A Computational Method in Plasma Physics. Springer Berlin Heidelberg, 1978. ISBN 9783642854705. doi: 10.1007/ 978-3-642-85. URL http://dx.doi.org/10.1007/978-3-642-85470-5.

    [4] C. Beidler, G. Grieger, F. Herrnegger, E. Harmeyer, J. Kisslinger, W. Lotz, H. Maassberg, P. Merkel, J. N u¨hrenberg, F. Rau, J. Sapper, F. Sardei, R. Scardovelli, A. Schl u¨ter, and H. Wobig. Physics and Engineering Design for Wendelstein VII-X. Fusion Technology,

    [5] O. P. Bruno and L. A. Kunyansky. A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications. Journal of Computational Physics, 169(1):80 - 110, May 2001. ISSN 0021-9991. doi: 10.1006/jcph. 2001.6714. URL http://dx.doi.org/10.1006/jcph.2001.6714.

    [6] O. P. Bruno and L. A. Kunyansky. Surface scattering in three dimensions: an accelerated high-order solver. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 457(2016):2921 - 2934, Dec 2001. ISSN 1471-2946. doi: 10.1098/rspa.2001.0882. URL http://dx.doi.org/10.1098/RSPA.2001.0882.

    [7] O. P. Bruno and P. Laurence. Existence of three-dimensional toroidal MHD equilibria with nonconstant pressure. Communications on Pure and Applied Mathematics, 49(7):717 - 764, Jul 1996. ISSN 1097-0312. doi: 10.1002/(sici)1097-0312(199607)49:7h717::aid-cpa3i 3.0.co;2-c. URL http://dx.doi.org/10.1002/(SICI)1097-0312(199607)49:7<717:: AID-CPA3>3.0.CO;2-C.

    [8] A. J. Cerfon and M. O'Neil. Exact axisymmetric Taylor states for shaped plasmas. Physics of Plasmas, 21(6):064501, Jun 2014. ISSN 1089-7674. doi: 10.1063/1.4881466. URL http://dx.doi.org/10.1063/1.4881466.

    [9] H. Cheng, W. Y. Crutchfield, Z. Gimbutas, L. F. Greengard, J. F. Ethridge, J. n. Huang, V. Rokhlin, N. Yarvin, and J. Zhao. A wideband fast multipole method for the Helmholtz equation in three dimensions. Journal of Computational Physics, 216(1):300 - 325, Jul 2006. ISSN 0021-9991. doi: 10.1016/j.jcp.2005.12.001. URL http://dx.doi. org/10.1016/J.JCP.2005.12.001.

    [10] W. C. Chew. Waves and Fields in Inhomogenous Media. Wiley-IEEE Press, Piscataway, NJ, 1999.

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